Area preserving maps and volume preserving maps between a class of polyhedrons and a sphere
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-016-9502-z
Abstract: We construct a bijective continuous area preserving map from a class of elongated dipyramids to the sphere, together with its inverse. Then we investigate for which such solid polyhedrons the area preserving map can be… read more here.
Keywords: class; preserving maps; area preserving; volume preserving ... See more keywords
The Effective Dynamics of the Volume Preserving Mean Curvature Flow
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-018-2041-x
Abstract: We consider the dynamics of small closed submanifolds (‘bubbles’) under the volume preserving mean curvature flow. We construct a map from ($$\text {n}+1$$n+1)-dimensional Euclidean space into a given ($$\text {n}+1$$n+1)-dimensional Riemannian manifold which characterizes the… read more here.
Keywords: mean curvature; preserving mean; volume preserving; effective dynamics ... See more keywords
Ultralight, super-elastic and volume-preserving cellulose fiber/graphene aerogel for high-performance electromagnetic interference shielding
Sign Up to like & getrecommendations! Published in 2017 at "Carbon"
DOI: 10.1016/j.carbon.2017.01.054
Abstract: Abstract Ultralight cellulose fiber/thermally reduced graphene oxide (CF/RGO) hybrid aerogel with super-elasticity and excellent electromagnetic interference (EMI) shielding capability was fabricated through lyophilization and carbonization process. CF/RGO aerogel with 5 mm thickness exhibits high EMI shielding… read more here.
Keywords: volume; cellulose fiber; electromagnetic interference; volume preserving ... See more keywords
Mathematical analysis of finite volume preserving scheme for nonlinear Smoluchowski equation
Sign Up to like & getrecommendations! Published in 2020 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2019.132221
Abstract: Abstract This study presents the convergence analysis of the recently developed finite volume preserving scheme (Forestier-Coste and Mancini, 2012) for approximating a coalescence or Smoluchowski equation. The idea of the finite volume scheme is to… read more here.
Keywords: preserving scheme; volume; finite volume; volume preserving ... See more keywords
Diffusion and drift in volume-preserving maps
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DOI: 10.1134/s1560354717060089
Abstract: A nearly-integrable dynamical system has a natural formulation in terms of actions, y (nearly constant), and angles, x (nearly rigidly rotating with frequency Ω(y)).We study angleaction maps that are close to symplectic and have a… read more here.
Keywords: drift; diffusion drift; volume preserving; preserving maps ... See more keywords
Adversarially Training MCMC with Non-Volume-Preserving Flows
Sign Up to like & getrecommendations! Published in 2022 at "Entropy"
DOI: 10.3390/e24030415
Abstract: Recently, flow models parameterized by neural networks have been used to design efficient Markov chain Monte Carlo (MCMC) transition kernels. However, inefficient utilization of gradient information of the target distribution or the use of volume-preserving… read more here.
Keywords: non volume; preserving flows; transition kernels; transition ... See more keywords